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navik [9.2K]
3 years ago
11

You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Eac

h number is replaced after it is drawn. Find the probability that you will draw the 3 on your rst draw and a number greater than 10 on your second draw.
Mathematics
1 answer:
Leokris [45]3 years ago
7 0
<h2>Answer:</h2>

Probability=\frac{3}{125}

<h2>Step-by-step explanation:</h2>

In the question,

Total number of pieces of paper numbered from 1 to 25 are = 25

As the <u>draw also includes replacement.</u>

So,

<u>Probability of drawing '3'</u> is given by,

Probability=\frac{Favourable\,outcomes}{Total\,cases}\\Probability=\frac{1}{25}

Now,

Numbers greater than 10 are = 15

So,

<u>Probability of drawing a number greater than 10</u> is given by,

Probability=\frac{15}{25}

So,

<em><u>Total probability</u></em> is given by,

Product of probability of drawing 3 in 1st draw and the Probability of drawing a number greater than 10.

\frac{1}{25}\times \frac{15}{25}=\frac{3}{125}\\Probability=\frac{3}{125}

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